On the accuracy of the Timoshenko beam theory above the critical frequency: best shear coefficient

TL;DR

This paper investigates the accuracy of the Timoshenko beam theory at frequencies above the critical point by fitting shear coefficients to experimental data, revealing the need for different coefficients below and above the critical frequency.

Contribution

It introduces a method to determine optimal shear coefficients for Timoshenko beam theory both below and above the critical frequency using experimental data.

Findings

Different shear coefficients improve the theory's accuracy above and below the critical frequency.

Least-square fitting identifies optimal shear coefficients for different frequency ranges.

The study enhances the predictive capability of Timoshenko beam theory in dynamic analysis.

Abstract

We obtain values for the shear coefficient both below and above the critical frequency by comparing the results of the Timoshenko beam theory with experimental data published recently. The best results are obtained, by a least-square fitting, when different values of the shear coefficient are used below and above the critical frequency.